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Finding the Fourth Proportional to 5,399.36, 8,097.36 and 3,207.44

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Solution

The fourth proportional to 5,399.36, 8,097.36 and 3,207.44 is: 4,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.36 : 8,097.36 = 3,207.44 : x
  2. Step 2: Convert to fraction form
    5,399.36/8,097.36 = 3,207.44/x
  3. Step 3: Cross multiply
    5,399.36x = 8,097.36 × 3,207.44
  4. Step 4: Simplify right side
    5,399.36x = 25,971,796.36
  5. Step 5: Solve for x
    x = 25,971,796.36/5,399.36
  6. Step 6: Final answer
    x = 4,810.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.